SOLUTION: find the equation of circle through the points (10,2),(2,3),(1,-1)

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Question 1097128: find the equation of circle through the points (10,2),(2,3),(1,-1)
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Use the general form of the circle,

.
.
(10,2):

1.
.
.
(2,3):

2.
.
.
(1,-1):

3.
.
.
Subtract eq. 3 from eq. 1,


4.
Subtract eq. 3 from eq. 2,

5.
Multiply eq. 3 by -4 and add to eq. 5,



So then working backwards,





and



So then,

Complete the square in both x and y,






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